113-rosay-07faex01 - Math 113 EXAM I, Oct. 3, 2007, (50...

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Unformatted text preview: Math 113 EXAM I, Oct. 3, 2007, (50 minutes). NAME: SECTION: Instructor: YOU MUST SHOW WORK JUSTIF YIN G THAT ANSWER. I. > > G (20 points) 1) Prove that [HBO = 20°. = ‘3- 2) Assume that {HC’! 2 7 (units), Where {HC’i dentes the length of the line segment from H to 0. Evaluate lABI, and BB]. II. (25 points) 1) Given sin2 6 = 5, show all the possible terminal sides. 2) If, additionally, we are given that 0059 > 0, and sint9 < 0, show which is the terminal side, and evaluate c0s6 and tan 6. III. For each angle given in degrees give the corresponding value in radians and vice versa. (5 points) 45" = 30° 2 7r radians 2 —§ radians = I\') IV. (25 points) The figure shows a portion of the graph of y = Aeos(Bz + C) + D. Assume that A and B > 0. Evaluate those of the quantities A,B,C and D that the data that are provided allow you to evaluate. [N v __ rm. _ _.. w W, ~.—.=-» H.“ _._. If the function = 2sin(x + 30) + 1, reaches a maximum for a: : 7r, evaluate y(7r). What can you say about the value of C? (Give a possible possible value, or better, give I all possible values.) V. CALCULATORl If the circle shown on the figure has a radius of length 5 (units), give the EXACT VALUES of: the area A of the shaded region, the length 5 of the arc of circle from A to B, the length [ABI of the line segment from A to B. (25 points) A: V as: VI. The circle shown on the figure has its center at 0. Evaluate the angle 6. (20 points) ...
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This note was uploaded on 08/08/2008 for the course MATH 113 taught by Professor Rosay during the Spring '07 term at University of Wisconsin Colleges Online.

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113-rosay-07faex01 - Math 113 EXAM I, Oct. 3, 2007, (50...

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